Answer:
The correct answer is = p = 15 and q = 6.
Step-by-step explanation:
Given:
Perimeter of rectangle = 42 cm
p - q = 9 cm
length = p
width = q
we know:
Perimeter of rectangle= 2(l+w)
solution:
42 = 2(P+q)
21= p+q
Difference of p and q = 9 cm.
Then, P+q=21 .... 1
P-q=9 ....2
Adding both 1 and 2
2P = 30
P= 15cm and
q = 15-9
= 6cm
Answer:
1. (3,-3)
2. x=3 x=-2
Step-by-step explanation:
Plug it into the equation one number at a time.
Answer:
40 unit²
Step-by-step explanation:
If you are referring to the figure attached read on:
We know that the distance between two points can be computed using the formula:
We also know that the formula for the area of a rectangle is:
A = L x W
While the area of a parallelogram is:
A = b x h
In the figure the dimensions of the parallelogram is easy to get as the base is vertical and the height is horizontal parallel to the x and y axes.
The base is 6 units, and the height is 1 unit. So we multiply that:
A = 6 x 1 = 6 units²
As for the rectangle we need to use the distance formula because they are not parallel to the x and y axes.
First let's get the width, then the length.
So now we have the the dimensions of the rectangle, we can solve for the area.
A = 8.25 unit x 4.12 unit
= 33.99unit²
To get the total area then, we add up their areas:
33.99 unit² + 6 unit² = 39.99 unit² ≅ 40 units²
Answer: Multiply
2 * 1 5/6
Convert 1 5/6 into an improper fraction:
2 * 11/5
Multiply:
22/5
Convert to mixed number:
4 2/5
So 22/5 or 4 2/5 of a pan of brownies was left.